416631617 has 2 divisors, whose sum is σ = 416631618. Its totient is φ = 416631616.

The previous prime is 416631583. The next prime is 416631619. The reversal of 416631617 is 716136614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 374848321 + 41783296 = 19361^2 + 6464^2 .

It is a cyclic number.

It is not a de Polignac number, because 416631617 - 2¹² = 416627521 is a prime.

Together with 416631619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (416631619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208315808 + 208315809.

It is an arithmetic number, because the mean of its divisors is an integer number (208315809).

Almost surely, 2^416631617 is an apocalyptic number.

It is an amenable number.

416631617 is a deficient number, since it is larger than the sum of its proper divisors (1).

416631617 is an equidigital number, since it uses as much as digits as its factorization.

416631617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 35.

The square root of 416631617 is about 20411.5559671476. Note that the first 3 decimals coincide. The cubic root of 416631617 is about 746.8798476066.

The spelling of 416631617 in words is "four hundred sixteen million, six hundred thirty-one thousand, six hundred seventeen".